Average Error: 15.0 → 15.0
Time: 902.0ms
Precision: binary64
\[\frac{1}{1 + \sqrt{1 + {x}^{2}}}\]
↓
\[\frac{1}{1 + \sqrt{1 + {x}^{2}}}\]
\frac{1}{1 + \sqrt{1 + {x}^{2}}}
↓
\frac{1}{1 + \sqrt{1 + {x}^{2}}}
double code(double x) {
	return ((double) (1.0 / ((double) (1.0 + ((double) sqrt(((double) (1.0 + ((double) pow(x, 2.0))))))))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) (1.0 + ((double) sqrt(((double) (1.0 + ((double) pow(x, 2.0))))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.0

    \[\frac{1}{1 + \sqrt{1 + {x}^{2}}}\]

  2. Final simplification15.0

    \[\leadsto \frac{1}{1 + \sqrt{1 + {x}^{2}}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ 1 (+ 1 (sqrt (+ 1 (pow x 2)))))"
  :precision binary64
  (/ 1.0 (+ 1.0 (sqrt (+ 1.0 (pow x 2.0))))))